11648000 has 176 divisors, whose sum is σ = 35765184. Its totient is φ = 3686400.

The previous prime is 11647991. The next prime is 11648003. The reversal of 11648000 is 84611.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11648003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895994 + ... + 896006.

Almost surely, 2^11648000 is an apocalyptic number.

11648000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882592).

11648000 is an abundant number, since it is smaller than the sum of its proper divisors (24117184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11648000 is an equidigital number, since it uses as much as digits as its factorization.

11648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11648000 is about 3412.9166412322. The cubic root of 11648000 is about 226.6820443239.

The spelling of 11648000 in words is "eleven million, six hundred forty-eight thousand".